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Foundations of stable homotopy theory

Barnes, David, (1981-)

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Foundations of stable homotopy theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Foundations of stable homotopy theory/ David Barnes, Constanze Roitzheim.
Author:	Barnes, David,
other author:	Roitzheim, Constanze.
Published:	Cambridge :Cambridge University Press, : 2020.,
Description:	vi, 423 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 06 Mar 2020).
Subject:	Homotopy theory. -
Online resource:	https://doi.org/10.1017/9781108636575
ISBN:	9781108636575

Foundations of stable homotopy theory
Barnes, David,1981-

Foundations of stable homotopy theory[electronic resource] /David Barnes, Constanze Roitzheim. - Cambridge :Cambridge University Press,2020. - vi, 423 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;185. - Cambridge studies in advanced mathematics ;185..

Title from publisher's bibliographic system (viewed on 06 Mar 2020).

The beginning graduate student in homotopy theory is confronted with a vast literature on spectra that is scattered across books, articles and decades. There is much folklore but very few easy entry points. This comprehensive introduction to stable homotopy theory changes that. It presents the foundations of the subject together in one place for the first time, from the motivating phenomena to the modern theory, at a level suitable for those with only a first course in algebraic topology. Starting from stable homotopy groups and (co)homology theories, the authors study the most important categories of spectra and the stable homotopy category, before moving on to computational aspects and more advanced topics such as monoidal structures, localisations and chromatic homotopy theory. The appendix containing essential facts on model categories, the numerous examples and the suggestions for further reading make this a friendly introduction to an often daunting subject.

ISBN: 9781108636575Subjects--Topical Terms:

604501
Homotopy theory.

LC Class. No.: QA612.7 / .B375 2020

Dewey Class. No.: 514.24

Foundations of stable homotopy theory
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245 1 0 $a Foundations of stable homotopy theory $h [electronic resource] / $c David Barnes, Constanze Roitzheim.
260 $a Cambridge : $b Cambridge University Press, $c 2020.
300 $a vi, 423 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 185
500 $a Title from publisher's bibliographic system (viewed on 06 Mar 2020).
520 $a The beginning graduate student in homotopy theory is confronted with a vast literature on spectra that is scattered across books, articles and decades. There is much folklore but very few easy entry points. This comprehensive introduction to stable homotopy theory changes that. It presents the foundations of the subject together in one place for the first time, from the motivating phenomena to the modern theory, at a level suitable for those with only a first course in algebraic topology. Starting from stable homotopy groups and (co)homology theories, the authors study the most important categories of spectra and the stable homotopy category, before moving on to computational aspects and more advanced topics such as monoidal structures, localisations and chromatic homotopy theory. The appendix containing essential facts on model categories, the numerous examples and the suggestions for further reading make this a friendly introduction to an often daunting subject.
650 0 $a Homotopy theory. $3 604501
700 1 $a Roitzheim, Constanze. $3 3470445
830 0 $a Cambridge studies in advanced mathematics ; $v 185. $3 3469117
856 4 0 $u https://doi.org/10.1017/9781108636575